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Finding the Fourth Proportional to 199,290, 275,020.20 and 109,867.92

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Solution

The fourth proportional to 199,290, 275,020.20 and 109,867.92 is: 151,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,290 : 275,020.20 = 109,867.92 : x
  2. Step 2: Convert to fraction form
    199,290/275,020.20 = 109,867.92/x
  3. Step 3: Cross multiply
    199,290x = 275,020.20 × 109,867.92
  4. Step 4: Simplify right side
    199,290x = 30,215,897,331.98
  5. Step 5: Solve for x
    x = 30,215,897,331.98/199,290
  6. Step 6: Final answer
    x = 151,617.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.